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arxiv: 1202.2010 · v1 · pith:K7IGQTDUnew · submitted 2012-02-09 · 🧮 math-ph · math.MP

New solution of the mathcal{N}=2 Supersymmetric KdV equation via Hirota methods

classification 🧮 math-ph math.MP
keywords equationhirotamathcalskdvsolutionssupersymmetricbilinearconsider
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We consider the resolution of the $\mathcal{N}=2$ supersymmetric KdV equation with $a=-2$ ($SKdV_{a=-2}$) from the Hirota formalism. For the first time, a bilinear form of the $SKdV_{a=-2}$ equation is constructed. We construct multisoliton solutions and rational similarity solutions.

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